Way to crosscheckμ−econversion in the case of no signals ofμ→eγandμ→3e

Abstract

We consider the case that the $\ensuremath{\mu}\ensuremath{-}e$ conversion signal is discovered but other charged lepton flavor violating (cLFV) processes will never be found. In such a case, we need other approaches to confirm the $\ensuremath{\mu}\ensuremath{-}e$ conversion and its underlying physics without conventional cLFV searches. We study R-parity violating (RPV) SUSY models as a benchmark. We briefly review that our interesting case is realized in RPV SUSY models with reasonable settings in light of current theoretical and experimental status. We focus on the exotic collider signatures at the LHC ($pp\ensuremath{\rightarrow}{\ensuremath{\mu}}^{\ensuremath{-}}{e}^{+}$ and $pp\ensuremath{\rightarrow}jj$) as the other approaches. We show the correlations between the branching ratio of the $\ensuremath{\mu}\ensuremath{-}e$ conversion process and cross sections of these processes. It is the first time that these correlations have been graphically shown. We exhibit the RPV parameter dependence of the branching ratio and the cross sections and discuss the feasibility of determining the parameters.